What are the most instructive movies about artificial intelligence?
Here are my suggestions


Her, the AI part (movie spoiler):


   The AI can define a user's profile just by hearing his short story, and "act" based on the user's profile. The AI makes the user comfort with it (her). It shows a very advance user profiling.

Ex Machina the AI part (movie spoiler):


   This movie will show you how an AI learn to trick someone. The AI can express her feelings, and make you trust their feeling.

Eagle Eye, the AI part (movie spoiler):


   A movie about a general story "AI that want to kill". This movie can show you how The AI can compile a lot of information for its purpose.  

Big Hero 6, the AI part (movie spoiler):


   Baymax is a very good example of a very complex expert system, he has a "knowledge chip" and a very smart way to diagnose people